(x-2)(x-2)(x+3i)(x-3i)=0

Simple and best practice solution for (x-2)(x-2)(x+3i)(x-3i)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (x-2)(x-2)(x+3i)(x-3i)=0 equation: 


Simplifying
(x + -2)(x + -2)(x + 3i)(x + -3i) = 0

Reorder the terms:
(-2 + x)(x + -2)(x + 3i)(x + -3i) = 0

Reorder the terms:
(-2 + x)(-2 + x)(x + 3i)(x + -3i) = 0

Reorder the terms:
(-2 + x)(-2 + x)(3i + x)(x + -3i) = 0

Reorder the terms:
(-2 + x)(-2 + x)(3i + x)(-3i + x) = 0

Multiply (-2 + x) * (-2 + x)
(-2(-2 + x) + x(-2 + x))(3i + x)(-3i + x) = 0
((-2 * -2 + x * -2) + x(-2 + x))(3i + x)(-3i + x) = 0
((4 + -2x) + x(-2 + x))(3i + x)(-3i + x) = 0
(4 + -2x + (-2 * x + x * x))(3i + x)(-3i + x) = 0
(4 + -2x + (-2x + x2))(3i + x)(-3i + x) = 0

Combine like terms: -2x + -2x = -4x
(4 + -4x + x2)(3i + x)(-3i + x) = 0

Multiply (4 + -4x + x2) * (3i + x)
(4(3i + x) + -4x * (3i + x) + x2(3i + x))(-3i + x) = 0
((3i * 4 + x * 4) + -4x * (3i + x) + x2(3i + x))(-3i + x) = 0
((12i + 4x) + -4x * (3i + x) + x2(3i + x))(-3i + x) = 0
(12i + 4x + (3i * -4x + x * -4x) + x2(3i + x))(-3i + x) = 0
(12i + 4x + (-12ix + -4x2) + x2(3i + x))(-3i + x) = 0
(12i + 4x + -12ix + -4x2 + (3i * x2 + x * x2))(-3i + x) = 0
(12i + 4x + -12ix + -4x2 + (3ix2 + x3))(-3i + x) = 0

Reorder the terms:
(12i + -12ix + 3ix2 + 4x + -4x2 + x3)(-3i + x) = 0
(12i + -12ix + 3ix2 + 4x + -4x2 + x3)(-3i + x) = 0

Multiply (12i + -12ix + 3ix2 + 4x + -4x2 + x3) * (-3i + x)
(12i * (-3i + x) + -12ix * (-3i + x) + 3ix2 * (-3i + x) + 4x * (-3i + x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0
((-3i * 12i + x * 12i) + -12ix * (-3i + x) + 3ix2 * (-3i + x) + 4x * (-3i + x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0

Reorder the terms:
((12ix + -36i2) + -12ix * (-3i + x) + 3ix2 * (-3i + x) + 4x * (-3i + x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0
((12ix + -36i2) + -12ix * (-3i + x) + 3ix2 * (-3i + x) + 4x * (-3i + x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0
(12ix + -36i2 + (-3i * -12ix + x * -12ix) + 3ix2 * (-3i + x) + 4x * (-3i + x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0

Reorder the terms:
(12ix + -36i2 + (-12ix2 + 36i2x) + 3ix2 * (-3i + x) + 4x * (-3i + x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0
(12ix + -36i2 + (-12ix2 + 36i2x) + 3ix2 * (-3i + x) + 4x * (-3i + x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0
(12ix + -36i2 + -12ix2 + 36i2x + (-3i * 3ix2 + x * 3ix2) + 4x * (-3i + x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0

Reorder the terms:
(12ix + -36i2 + -12ix2 + 36i2x + (3ix3 + -9i2x2) + 4x * (-3i + x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0
(12ix + -36i2 + -12ix2 + 36i2x + (3ix3 + -9i2x2) + 4x * (-3i + x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0
(12ix + -36i2 + -12ix2 + 36i2x + 3ix3 + -9i2x2 + (-3i * 4x + x * 4x) + -4x2 * (-3i + x) + x3(-3i + x)) = 0
(12ix + -36i2 + -12ix2 + 36i2x + 3ix3 + -9i2x2 + (-12ix + 4x2) + -4x2 * (-3i + x) + x3(-3i + x)) = 0
(12ix + -36i2 + -12ix2 + 36i2x + 3ix3 + -9i2x2 + -12ix + 4x2 + (-3i * -4x2 + x * -4x2) + x3(-3i + x)) = 0
(12ix + -36i2 + -12ix2 + 36i2x + 3ix3 + -9i2x2 + -12ix + 4x2 + (12ix2 + -4x3) + x3(-3i + x)) = 0
(12ix + -36i2 + -12ix2 + 36i2x + 3ix3 + -9i2x2 + -12ix + 4x2 + 12ix2 + -4x3 + (-3i * x3 + x * x3)) = 0
(12ix + -36i2 + -12ix2 + 36i2x + 3ix3 + -9i2x2 + -12ix + 4x2 + 12ix2 + -4x3 + (-3ix3 + x4)) = 0

Reorder the terms:
(12ix + -12ix + -12ix2 + 12ix2 + 3ix3 + -3ix3 + -36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4) = 0

Combine like terms: 12ix + -12ix = 0
(0 + -12ix2 + 12ix2 + 3ix3 + -3ix3 + -36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4) = 0
(-12ix2 + 12ix2 + 3ix3 + -3ix3 + -36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4) = 0

Combine like terms: -12ix2 + 12ix2 = 0
(0 + 3ix3 + -3ix3 + -36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4) = 0
(3ix3 + -3ix3 + -36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4) = 0

Combine like terms: 3ix3 + -3ix3 = 0
(0 + -36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4) = 0
(-36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4) = 0

Solving
-36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-4x2' to each side of the equation.
-36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + -4x2 + x4 = 0 + -4x2

Reorder the terms:
-36i2 + 36i2x + -9i2x2 + 4x2 + -4x2 + -4x3 + x4 = 0 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-36i2 + 36i2x + -9i2x2 + 0 + -4x3 + x4 = 0 + -4x2
-36i2 + 36i2x + -9i2x2 + -4x3 + x4 = 0 + -4x2
Remove the zero:
-36i2 + 36i2x + -9i2x2 + -4x3 + x4 = -4x2

Add '4x3' to each side of the equation.
-36i2 + 36i2x + -9i2x2 + -4x3 + 4x3 + x4 = -4x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
-36i2 + 36i2x + -9i2x2 + 0 + x4 = -4x2 + 4x3
-36i2 + 36i2x + -9i2x2 + x4 = -4x2 + 4x3

Add '-1x4' to each side of the equation.
-36i2 + 36i2x + -9i2x2 + x4 + -1x4 = -4x2 + 4x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-36i2 + 36i2x + -9i2x2 + 0 = -4x2 + 4x3 + -1x4
-36i2 + 36i2x + -9i2x2 = -4x2 + 4x3 + -1x4

Reorder the terms:
-36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4 = -4x2 + 4x2 + 4x3 + -4x3 + -1x4 + x4

Combine like terms: -4x2 + 4x2 = 0
-36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4 = 0 + 4x3 + -4x3 + -1x4 + x4
-36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4 = 4x3 + -4x3 + -1x4 + x4

Combine like terms: 4x3 + -4x3 = 0
-36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4 = 0 + -1x4 + x4
-36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-36i2 + 36i2x + -9i2x2 + 4x2 + -4x3 + x4 = 0

The solution to this equation could not be determined.

See similar equations:

| 175000=x(x+3) | | 7x+10000=5x+14000 | | 7x+10000=10x+6000 | | f(-4)=8 | | (-5(x=6)/3)=10 | | 8750=x(x+3) | | 2n+3.75=7n | | 2s-13=27 | | 3(2p+5)-4(p+3)= | | 1750=x*(x+3) | | 2.3x+5.6=3.4 | | 6a+9=23 | | 7x-10+2x=5-x | | 3/5•20m= | | x+(x*0.32)=255 | | 5-3(1-9x)=3-2(2x+4) | | 4x-4t=2 | | 16fg-2g= | | s-3t=rt | | A/3-=2 | | t=(t+20)+(t+10) | | -5(1-5x)+5(-8x-2)=-5x-45 | | t=(t+10)+(t+20) | | 65(3h)+130=h | | 5-2(7x+2)= | | 8+5x=9x-8 | | 8+5x=8x-8 | | 6p+10=360 | | 24x-22=-4(1-6k) | | A=9/8(h-75) | | (3+7i)+(4+5i)=0 | | 6x+10=360 |

Equations solver categories